use induction to prove that fn ≥ 2 0.5n for n ≥ 6

Answer:

y=x+3

Step-by-step explanation:

slope is 1

intercept is 3

Answer:

-0.375

Step-by-step explanation:

you just divide the numbers.

Answer:

The larger wheel is 10979.04098 more than the smaller wheel.

Step-by-step explanation:

Given that,

The circumference of the great wheel was twelve thousand and forty-one thousandth inches.

C = 12000.041 inches

The circumference of the lesser wheel was only one thousand twenty-one and two hundred-thousand inches.

C' = 1021.00002 inches

We need to find how much larger was the great wheel. To find it, take the difference of C and C'.

C-C' = 12000.041 inches - 1021.00002 inches

= 10979.04098 inches

Hence, the larger wheel is 10979.04098 more than the smaller wheel.

By using the Angle Addition Postulate, we can prove that all three angles of triangle ABC add up to 180°.

The reason that can be used to fill in the numbered blank space is the Angle Addition Postulate.

The Angle Addition Postulate states that the sum of the measures of two adjacent angles is equal to the measure of the larger angle formed by their union. In the context of triangle ABC, we can use this postulate to prove that the sum of the measures of the interior angles of the triangle totals 180°.

By applying the Angle Addition Postulate to each pair of adjacent angles in triangle ABC, we can show that the sum of all three angles is equal to 180°. The three angles in triangle ABC are angle A, angle B, and angle C.

Using the Angle Addition Postulate, we can write the following equations:

angle A + angle B = measure of angle A + B

angle A + angle B + angle C = measure of angle A + B + C

Since the measure of angle A + B + C represents the measure of the larger angle formed by the union of angles A, B, and C, we can conclude that angle A + angle B + angle C is equal to 180°.

Therefore, by using the Angle Addition Postulate, we can prove that all three angles of triangle ABC add up to 180°.

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2x = 2 x 25?

50 + ? = 150

50 + 100 = 150

x = 50?

2x + 50 = 150

2 x 50 + 50 = 150

100 + 50 = 150

The measure of x is 50.

Vertical angles are generated by the junction of two straight lines that are not contiguous. Vertical angles are positioned across from each other in the corners of the "X" created by two straight lines. Because they are opposite each other, they are also known as vertically opposite angles.

Using Vertical Angle property as

(50+ 2x) = 150

So, subtract 50 from side we get

50 + 2x - 50= 150 - 50

2x = 100

Now, divide both side by 2 we get

2x/2 = 100 / 2

x = 50

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(b) 145, 143, 145, and 147 must have the smallest standard deviation.

A statistical measurement called standard deviation examines how distant a set of numbers is from the mean. Simply said, standard deviation quantifies the degree of dispersion between numbers in a data set. The square root of the variance is used to construct this metric. The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95% of values in any distribution will be within two standard deviations of the mean.

Given,

(b) 145, 143, 145, and 147 must have the smallest standard deviation.

Due to the near proximity of all the values, this particular data set has the lowest standard deviation.

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Answer:

2^3 X 2^5 = 2^8

when multiplying indices with the same base number just add the indices

Answer:

Is this full qn ?. I don't think sooo.

Answer:

42.50

Step-by-step explanation:

50 x.15 =7.50 discount

50 (original price)-7.50 (discount)=42.50 (sales price)

Using the formula for the confidence interval and provided value for mean and the upper interval. The answer is 0.05.

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts.

The alpha value is 0.025, and the associated critical value is 1.96 for a two-tailed 95% confidence interval. This indicates that we can subtract 1.96 standard deviations from the mean, or the mean, to determine the upper and lower boundaries of the confidence interval.

sample mean = 0.17

upper limit = 0.29

upper limit = sample mean + margin

margin = 0.29-0.17 = 0.12

lower limit = sample mean - margin

=0.17-0.12 = 0.05

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Answer:

18

Step-by-step explanation:

you dd u all sides 6+6+3+3

Answer:

18 ft

Step-by-step explanation:

So to get our answer, we add up all 4 sides of the rectangle. We know that rectangles have two pairs of parrallel sides, so we have 6 6 3 3.

We add up those four variables(6+6+3+3) to get our answer of 18 ft!

Hope this helped ya out ^^

Answer:

3 and 5/12

Step-by-step explanation:

To find how much flour you need, subtract how much sugar you need from how much total you need of sugar and flower. To do this, turn both numbers into improper fractions. This means 3 and 2/3 turns into 11/3 as there are 3 thirds per whole, and there are three wholes plus the 2 thirds, equaling 11/3. The 1/4 is already an improper fraction, so you can move on.

Now you just covert them to have the same denominator by multiply 11/3 by 4 on top and bottom and 1/4 by 3 on both the top and bottom to get 44/12 and 3/12. Now you just subtract 44/12-3/12 and get 41/12. Made into a mixed number that is 3 and 5/12.

The recipe will require three and five-twelfths (3 5/12) fraction cups of flour.

A fraction is a portion of a whole or, more broadly, any number of equal pieces.

It is written in the form p/q, read as "p by q", where p is called the numerator and q is called the denominator, and the fraction p/q represents p number of equal parts from q number of equal parts.

Fractions are of two types:

In the question, we are informed that a recipe calls for a total of 3 and two-thirds cups of flour and sugar.

We are asked if the recipe calls for One-fourth cup of sugar, then how much flour is needed.

We suppose the quantity of flour required to be x cups.

We know the quantity of sugar required = One-fourth cup.

This can be written as a fraction = 1/4 cup.

We know the total sugar and flour is three and two-thirds cups.

This can be written as a fraction = 3 2/3 cup = 11/3 cup.

Now, we know quantity of sugar + quantity of flour = total quantity

or, 1/4 + x = 11/3

or, x = 11/3 - 1/4 = (44 - 3)/12 = 41/12 = 3 5/12.

Therefore, the recipe will require three and five-twelfths (3 5/12) fraction cups of flour.

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Answer:

17.6 inches thick

Step-by-step explanation:

when multiplying by 4000 each zero increases the power by one

Answer:

4000 dollar bills 17.6 inches thick

Step-by-step explanation:

4.4 x 10^-3= 0.0044 inches

0.0044 x 4,000 = 17.6 inches thick

i hope this helps you! :)

have a great day :D

Answer:

x=2

Step-by-step explanation:

log_x(y)+log_x(z)=log_x(yz), so logb(x-1) + logb(x+2)=logb((x-1)(x+2)). next subtract logb(8-2x) from both sides to get logb((x-1)(x+2))-logb(8-2x)=0. log_x(y) - log_x(z) = log_x(y/z). so now we have logb((x-1)(x+2)/(8-2x)). now you can put it into exponential form: (x-1)(x+2)/(8-2x)=b^0=1 now just solve for x:

(x-1)(x+2)= 8-2x, x^2 + x -2 = 8-2x, x^2 + 3x -10 = 0, (x+5)(x-2)=0 x=-5, x=2. plug both into the original equation to check which one is correct, since log_x(y) can't have a negative y, x=-5 doesnt work

Answer:

1, 3, 5, 7 and 19

Step-by-step explanation:

to find the first 4 terms, substitute n = 1, 2, 3, 4 into the rule, then

a₁ = 2(1) - 1 = 2 - 1 = 1

a₂ = 2(2) - 1 - 4 - 1 = 3

a₃ = 2(3) - 1 = 6 - 1 = 5

a₄ = 2(4) - 1 = 8 - 1 = 7

the first 4 terms are 1, 3, 5, 7

to find the 10th term , substitute n = 10 into the rule

a₁₀ = 2(20) - 1 = 20 - 1 = 19

False. The statement is not entirely accurate. While the Filter By Form feature can be used to filter records for an exact match, it might not be the easiest way for everyone.

In fact, the easiest way to filter records for an exact match largely depends on the user's preference and familiarity with different filtering methods in the software.

Filter By Form allows you to build a filter by entering criteria directly into the form, but there are other methods to filter records for an exact match that users might find more convenient. One such method is using the Filter command in the software. This can be found in the Sort & Filter group on the Home tab. You can apply filters directly to individual fields, and it allows you to quickly filter for an exact match based on specific criteria.

Another method is using the Search Box, where you can type a keyword to filter the records based on that exact match. This method is particularly useful when you have a large dataset and want to quickly narrow down the results.

In summary, while the Filter By Form feature can be used to filter records for an exact match, it's not necessarily the easiest way for everyone. The easiest method depends on user preference and familiarity with various filtering options available in the software.

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Answer:

0.28

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

585 / 9 = 65

She typed 65 words per minute.

The inequality that represents how much the total insured expenses is x ≤ $250 + 0.2x + $5,000.

Insured expenses refer to the medical or health care costs that are covered by an insurance policy. They are typically those costs that are incurred due to an illness, injury, or other health issues, and are paid for by the insurance company, subject to policy terms and conditions such as deductibles, co-insurance, and out-of-pocket maximums

Here, the first $250 represents the deductible, which the client has to pay regardless of the amount of insured expenses. The second term (0.2x) represents the co-insurance, where the client pays 20% of the insured expenses.

The third term ($5,000) is the out-of-pocket maximum, which is the maximum amount the client has to pay for the insured expenses, including the deductible and co-insurance.

We can simplify the inequality by rearranging the terms and substituting x - $250 for y:

y = x - $250

y ≤ $4750

So, x≤ $250 + $4750 = $5000

This inequality represents the maximum amount of total insured expenses, x, that the client could have if they have not yet reached the out-of-pocket maximum.

In other words, if the client's insured expenses are less than or equal to $5000, they would not have to pay more than the out-of-pocket maximum, even if their expenses exceed the deductible and co-insurance amounts.

Therefore, The inequality that represents how much the total insured expenses is x ≤ $250 + 0.2x + $5,000.

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Answer:

Wdym?

Step-by-step explanation:

Im confused

Answer:

Step-by-step explanation:

si si . no hablo espenyol i just want pointos ok compadro?

Answer:

X = 51.63

Step-by-step explanation:

Answer:

x=34.44

Step-by-step explanation:

I hope this helps!!!

You can use the circumference of the circle that the blade makes to calculate the linear velocity at the end of the blade.

The linear velocity at the end of the blade is 13571.7 inches per minute

You can think of it as if some circle is being drawn by the end of the blade and then that circle is like wheel of a bicycle and its travelling on road. Each rotation will make it cover distance equal to its circumference. Since there are 60 revolutions of the blade in each minute, thus, 60 rounds of that wheel.

The total distance in 1 minute = 60 times circumference of the circle made by the end of the blade of the lawnmower.

Since the blade is 36 inches long, it can be taken as radius of that circle.

The circumference is thus calculated as \(2 \times \pi \times 36 = 226.19 \: \rm inches\)

Thus, linear velocity = 226.19 times 60 inches per minute = 13571.7 inches per minute

Thus,

The linear velocity at the end of the blade is 13571.7 inches per minute

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Answer:

i think its D or 4,320pi

Step-by-step explanation:

just divided the previous persons answer by pi and its d on edge 2022.

Answer:

x = 8

Step-by-step explanation:

The perimeter of a body is the sum of all its sides.

  Perimeter of the triangle;

       hypothenuse + opposite + adjacent  = x+6 + x + 3 + x + 9 = 3x + 18

  Perimeter of the rectangle  = x+1 + x + 4 + x + 1 + x + 4 = 4x + 10

Now,

 Since their perimeter is equal;

                           3x + 18 = 4x + 10

                             3x - 4x  = 10 - 18

                               -x  = -8

                               x = 8

Answer:

6

Step-by-step explanation:

To find the mean you need to add up all the number & then divide it by the total number of numbers.

7+6+7+6+6+7+6+4+5= 54/9 = 6

Answer from Gauthmath

Answer:

6

Step-by-step explanation:

To get the mean, you must add all numbers and divide it by how many digits you have. So 54 (Sum of all numbers) divide by 9 (9 digits) is 6

The given limit can be expressed as the definite integral ∫[3π, 5π] cos(x) dx over the interval [3π, 5π].

To express the limit as a definite integral, we can rewrite the sum as a Riemann sum and take the limit as n approaches infinity.

The given sum can be written as:

lim(n → ∞) [Σ(i = 1 to n) cos(xi) Δxi],

where Δxi = (b - a) / n is the width of each subinterval, xi is a sample point in the i-th subinterval, and [a, b] is the interval [3π, 5π].

To express the limit as a definite integral, we can rewrite the sum using the definite integral notation:

lim(n → ∞) [Σ(i = 1 to n) cos(xi) Δxi] = ∫[3π, 5π] cos(x) dx,

where dx represents an infinitesimally small change in x. By taking the limit as n approaches infinity, the sum converges to the definite integral.

Therefore, the given limit can be expressed as the definite integral ∫[3π, 5π] cos(x) dx over the interval [3π, 5π].

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Answer:

5 miles per hour

Step-by-step explanation:

the answer is 5 miles per hour, sorry if I am wrong.

The data in the accompanying table of 36 diamonds includes the price (in dollars), the weight (in carats), and the clarity grade of the diamonds. The diamonds have clarity grade either VS1 or VVS1. VVS1 diamonds are nearly flawless; VS1 have more visible (but still small) flaws. The results of the two-sample t-test to compare the prices of VS1 and VVS1 diamonds are as follows: Sample statistic, Two-sample t-statistic, P-value, Interpretation.

Sample statistic: The difference between the sample means of the two groups is x₁ - x₂ = -56.78 (rounded to two decimal places).

Two-sample t-statistic: The calculated t-value is -2.301 (rounded to three decimal places).

P-value: The p-value associated with the t-statistic is 0.0300 (rounded to four decimal places).

Interpretation: Based on the p-value, which is less than the commonly used significance level of 0.05, we can conclude that there is statistically significant evidence to suggest that there is a difference in prices between VS1 and VVS1 diamonds.

The negative value of the sample statistic indicates that, on average, VS1 diamonds have lower prices compared to VVS1 diamonds. This aligns with the definitions of the categories, as VVS1 diamonds are considered to have a higher clarity grade and are expected to command higher prices.

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Answer: 3

Step-by-step explanation: 2 as an improper fraction with a denominator of 3 (same denominator as in question) is 6/3. If we divide 6/3 by 2/3, we get the number of times 2/3 is found in 6/3 or 2. When we solve, we get 3 2/3’s in 2.

:)